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Finding the Third Proportional to 2,303 and 2,705

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Solution

The third proportional to 2,303 and 2,705 is: 3,177.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303 : 2,705 = 2,705 : x
  2. Step 2: Convert to fraction form
    2,303/2,705 = 2,705/x
  3. Step 3: Cross multiply
    2,303x = 2,705 × 2,705
  4. Step 4: Simplify right side
    2,303x = 7,317,025
  5. Step 5: Solve for x
    x = 7,317,025/2,303
  6. Step 6: Final answer
    x = 3,177.17

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.